Starting with a gentle approach to the Alday–Gaiotto–Tachikawa (AGT) correspondence
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …

A bstract This paper focuses on the analysis of 4d\(\mathcal {N}\)= 4 superconformal theories
in the presence of a defect from the point of view of the conformal bootstrap. We will …

We develop the conformal bootstrap program for six-dimensional conformal field theories
with (2, 0) supersymmetry, focusing on the universal four-point function of stress tensor …

A bstract We study various non-perturbative approaches to the quantization of the Seiberg-
Witten curve of\(\mathcal {N}\)= 2, SU (2) super Yang-Mills theory, which is closely related to …

A bstract We study the Nekrasov partition function of the five dimensional U (N) gauge theory
with maximal supersymmetry on ℝ 4× S 1 in the presence of codimension two defects. The …

A bstract We conjecture that for superconformal field theories in even dimensions, the
supersymmetric Casimir energy on a space with topology S 1× SD− 1 is equal to an …

A bstract Quantum field theories (QFT) in the presence of defects exhibit new types of
anomalies which play an important role in constraining the defect dynamics and defect …

A bstract We present two complementary approaches to calculating the 2-point function of
stress tensors in the presence of a 1/2 BPS surface defect of the 6d 𝒩=(2, 0) theories. First …

A bstract We provide a formula for the partition function of five-dimensional\(\mathcal {N}= 1\)
gauge theories on ℳ 4× S 1, topologically twisted along ℳ 4 in the presence of general …

We propose that the grand canonical topological string partition functions satisfy finite-
difference equations in the closed string moduli. In the case of genus one mirror curve, these …